557360640 has 240 divisors, whose sum is σ = 2045279808. Its totient is φ = 139788288.

The previous prime is 557360627. The next prime is 557360641. The reversal of 557360640 is 46063755.

557360640 is a `hidden beast` number, since 5 + 5 + 7 + 3 + 6 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 557360595 and 557360604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (557360641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 390969 + ... + 392391.

Almost surely, 2^557360640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 557360640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1022639904).

557360640 is an abundant number, since it is smaller than the sum of its proper divisors (1487919168).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

557360640 is a wasteful number, since it uses less digits than its factorization.

557360640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1469 (or 1450 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 557360640 is about 23608.4866096919. The cubic root of 557360640 is about 822.9600731029.

The spelling of 557360640 in words is "five hundred fifty-seven million, three hundred sixty thousand, six hundred forty".